From the outside, it looks like a race between figuring out the biocompatibility and power issues for total artificial hearts vs. figuring out the immunological issues for xenografts (pig hearts, mostly).
If I had to put money on it, I’d bet that the xenografts win. It doesn’t seem like we’ve made huge strides toward solving the power and durability requirements of total artificial hearts, while immunology advances are happening rapidly. Exciting times, nonetheless.